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Finding the Fourth Proportional to 437,820.60, 658,113.30 and 412,937.40

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Solution

The fourth proportional to 437,820.60, 658,113.30 and 412,937.40 is: 620,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,820.60 : 658,113.30 = 412,937.40 : x
  2. Step 2: Convert to fraction form
    437,820.60/658,113.30 = 412,937.40/x
  3. Step 3: Cross multiply
    437,820.60x = 658,113.30 × 412,937.40
  4. Step 4: Simplify right side
    437,820.60x = 271,759,595,007.42
  5. Step 5: Solve for x
    x = 271,759,595,007.42/437,820.60
  6. Step 6: Final answer
    x = 620,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.